Questions: Which complexity class represents algorithms that run in constant time, regardless of input size? O(log n) O(n log n) O(1) O(n)

Transcript text: Which complexity class represents algorithms that run in constant time, regardless of input size? $O(\log n)$ $O(n \log n)$ $\mathrm{O}(1)$ $O(n)$

Solution

Solution Steps

The question asks which complexity class represents algorithms that run in constant time, regardless of input size. The complexity class that describes constant time is $ O(1) $.

Step 1: Understanding Complexity Classes

Complexity classes describe the performance of an algorithm in terms of time or space as a function of the input size $ n $. Common complexity classes include:

$ O(\log n) $: Logarithmic time complexity
$ O(n \log n) $: Linearithmic time complexity
$ O(1) $: Constant time complexity
$ O(n) $: Linear time complexity

Step 2: Identifying Constant Time Complexity

An algorithm with constant time complexity, denoted as $ O(1) $, executes in the same amount of time regardless of the size of the input. This means that the execution time does not change with $ n $.

Final Answer

$\boxed{\mathrm{O}(1)}$

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